2573815920 has 480 divisors, whose sum is σ = 9410826240. Its totient is φ = 579870720.

The previous prime is 2573815913. The next prime is 2573815957. The reversal of 2573815920 is 295183752.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28919236 + ... + 28919324.

It is an arithmetic number, because the mean of its divisors is an integer number (19605888).

Almost surely, 2^2573815920 is an apocalyptic number.

2573815920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573815920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705413120).

2573815920 is an abundant number, since it is smaller than the sum of its proper divisors (6837010320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2573815920 is a wasteful number, since it uses less digits than its factorization.

2573815920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 2573815920 is about 50732.7893969965. The cubic root of 2573815920 is about 1370.4372696228.

The spelling of 2573815920 in words is "two billion, five hundred seventy-three million, eight hundred fifteen thousand, nine hundred twenty".